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April 10, 2026
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"In most situations, the contradictory requirements of quantum mechanics and general relativity are not a problem, because either the quantum effects or the gravitational effects are so small that they can be neglected or dealt with by approximations. When the of spacetime is very large, however, the quantum aspects of gravity become significant. It takes a very large or a great concentration of mass to produce much spacetime curvature. Even the curvature produced near the sun is exceedingly small compared with the amount needed for quantum gravity effects to become apparent. Though these effects are completely negligible now, they were very important in the beginning of the big bang, which is why a quantum theory of gravity is needed to describe how the big bang started. Such a theory is also important for understanding what happens at the center of black holes, because matter there is crushed into a region of extremely high curvature. Because gravity involves spacetime curvature, a quantum gravity theory will also be a theory of quantum spacetime ..."
"These of are very powerful. Let us recall the situation in flat space. If we have a massive in flat space then we can always boost to a . In AdS it is the same: if we consider the oscillating trajectory of a massive particle then we can "boost" to a frame where the particle is at rest. Thus, the moving particle does not know that is moving and, despite appearances, there is no "center" in AdS. The is part of the (as in the ) and there are several choices of Hamiltonian. Once we choose a Hamiltonian ... then we have chosen a "center" and a notion of the , in which a particle sits at this "center.""
"It has been a long-standing challege for to construct a theory of quantum gravity. String theory is the leading candidate for a quantum theory of gravity. General Relativity has the seeds of its own destruction in it, since smooth can evolve into singular field configurations ... Classically this is not a problem if the singularities are hidden behind s ... since this means that nothing can come out from the region containing the singularity. However, Hawking showed, under very general assumptions, that quantum mechanics implies that black holes emit particles ... In his approximation this radiation is exactly thermal and contains no information about the state of the black hole. This leads to the , since particles can fall in carrying information but what comes out is featureless thermal radiation ... Hawking argued that this would lead to non-unitary evolution, so that one of the basic principles of quantum mechanics would have to be modified."
"Interestingly, both quantum entanglement and s date back to two articles written by Albert Einstein and his collaborators in 1935. On the surface, the papers seem to deal with very different phenomena, and Einstein probably never suspected that there could be a connection between them. In fact, entanglement was a property of quantum mechanics that greatly bothered the German physicist, who called it How ironic that it now may offer a to extend his relativity theory to the quantum realm."
"... spacetime as a concept leads to some … where the equations fail. This happens in the interiors of the black holes when spacetime somehow collapses ... And, also, most importantly it happened in the beginning of the Big Bang."
"What kind of pluralism and democracy are we talking about, when today automatically one becomes an enemy if you do not agree? We see laws of dubious legal legitimacy, based on unacceptable positivism; public policies are proposed that ignore basic human rights; the Church is attacked and there is the violation of its rights, where the attacks are unjustly ridiculing religious values and those who profess them. One cannot openly pursue believers, but they are intimidated, the right to act according to one's conscience is not respected, and this creates a climate of fear, where one can no longer profess faith and act accordingly."
"Blessed be God, so that we can, in a democratic and pluralistic society, express our thoughts, and we must always give thanks for the freedom of expression."
"As the Catholic Church, we have repeatedly tried to point out the importance of non-violence: Violence cannot be the answer to our situation. We regularly hold prayer meetings for peace and ask everyone to be builders of peace and harmony"
"I insisted on the necessity of social consensus for those business initiatives that could affect the environment and the health of the population. I appreciate the confidence of all people involved in this process to overcome the conflict, leaving aside personal interests. I encourage everyone to continue to build together a new era in which dialogue can sow the path of social friendship and contribute to the common good of all the inhabitants of La Rioja."
"A new government always represents the option of bringing great ideals and work with greater consensus, and a change of President is always a moment of great significance. We are a nation and we want to continue to contribute to the common good. We hope to deepen the solidarity policies for the most vulnerable."
"I would say that we must learn to overcome historical resentment. History has a weight in each of us and in social life, it cannot be denied, but we cannot be slaves of this history by repeating the same mistakes and clashes. We must put the common good above all."
"As a diplomat with some experience of international crises, I do not hide the fact that there are no magic solutions to this crisis. The strict logic of selfish national interests and various lobbies have been active for some time and can prevent any rational solution."
"We need to move on to a more permanent mission, so that the ties with the families can be strengthened, personalizing them in a spirit of respect and gradual pedagogy."
"We must take care of this seed; we must be a good soil, which doesn't allow too many thorns to grow, thorns of division and other things that can stifle this seed that is growing. There must be mutual care between Priests and the faithful."
"We always run the risk of turning into administrators if we are too many years in a job."
"Lent can be an opportunity to rediscover the beauty and joy of being a family and that every human person is called to be part of a family because the Creator wished mankind to be a family."
"The best way to help the poor is to respect them, to stand before them as an equal, without any masks, privilege, without any authority other than love and respect. And love will help you persevere in spite of the disappointments and the failures and the lack of honesty that we have to deal with almost every day. I can say that there is no magic formula to help the poor. In each country, culture and civilization, there will always be different gestures, different approaches."
"It is necessary to encourage the Bishops to exert the ministry of pardon with spiritual generosity and also help current confessors to better prepare future confessors."
"He eliminates the work of his predecessors by placing arbitrary limits and obstacles to what they, with intra-ecclesial ecumenical intent and respect for the freedom of priests and faithful, established! It promotes ecclesial communion in reverse. The new measures involve a regrettable step backwards."
"In recent years the gap has widened and the number of poor and destitute has increased. This is the real gap in Argentina and it must not continue. Our country will not be happy, if this gap is not bridged."
"We see that the state cannot fully protect the lives and property of the population, but it takes time to rebuild the civil code, the penal code, and to impose these new paradigms that are but the tip of the iceberg of a new colonialism, a world imperialism that despises the poor in particular."
"The true Evangelical approach is not only to be generous, but to enter into friendship, to share life."
"The vital reality of the Church is moving toward the East and is flourishing in Africa and Asia. I say it with sadness: I am the grandson of Europeans, and the culture that I have assumed is European, but the spirit of the revolution has devastated Christian culture; the crisis is expressed in ecclesiastical progressivism, complicit in a revolution that liquidates the natural order of creation."
"The pope continues to look towards the neighborhoods we live in. The people also celebrated this papal support, which goes way beyond supporting me."
"There is a word that today is not very common: educe, which means to elicit, to draw out what is already in another, what I have to do is bring to light their moral values. I always think that in a child, in a young person there are essential values such as loyalty, respect. All of this needs to be educed, to be drawn out. This is the work of education."
"The objective of the Pauline Year is one of deep reflection and of evangelization. That is, in addition to its being a perfect time to awaken knowledge of the person and works of "the Apostle to the Gentiles," it is also an opportunity for all believers and men of good will to reflect more deeply on St. Paul’s inspired message on life in Christ, the message of salvation. It is a time to allow ourselves to be formed by God and His grace, to make our faith, hope, and charity (without forgetting its social dimension of solidarity) blossom in a world that is so in need of virtues."
"The Holy Spirit is the soul of the Church, infused through the Wind and the Fire of the Upper Room, such that the Church must "be converted" every day, every instant, into what she herself is, the Body of Christ and the People of God living through history."
"Everyone is disposed to live - if the church gives them the opportunity - an excellent evangelizing adventure. The new evangelization demands of us that we value and respect the desires of all those who solicit it for their children, also for those who find themselves in special situations. In this way, we favor the personal, fundamental encounter with the living Christ so that we are able to open to each man and woman in our lands the way to conversion, communion and solidarity."
"Churches reach where the state does not reach or arrives late. Churches have always done so from behind close doors and that is why I am honouring them today."
"In order to evangelize culture closer attention must be given to the ethical implications of technology to orient them towards man and his human dignity, while calling all Christians to their commitment to the faith to influence customs, so that Christian values are respected in society. A new language must be found to make it possible to give a clear and integral exposition to the entire mystery of Christ and His Gospel."
"I strongly believe in the religiosity of the Chilean people and in the Church of Santiago. People trust God. Chile's Church is of the people, but profound. I believe we must live a faith together with people, so that my faith will be credible and authentic. We must walk with them. And, on the other hand, I believe we must take on a great responsibility above all as an institutional church."
"The results of science are not the whole truth. There is philosophical interpretation and there is also the faith, for those who have received it in gift, which are something different. It’s a matter of harmonizing and not muddling things up. In general, men of science understand this difference in levels."
"It would be best if all Bishops in America campaigned together so that Christian entrepreneurs and others who, even if not Christian would appreciate people's ethical views and undertook to withdraw their publicity regarding immoral programs or any other type of support of that nature."
"Nobody is immune. We all bear responsibility for the huge social debt that Argentina has, and the kids that assaulted us are victims of that debt."
"It must strike us that, in the present time of an increasing presence of the elderly in our western society, as the demographers tell us, it is a man of over eighty who heads our Church and hence to perform in her and before the world this difficult and necessary task. This, too, must be seen and valued as a gift of Divine Providence."
"It was an unforgettable performance. Argerich celebrated her 75th birthday in June this year, but that news doesn't seem to have reached her fingers. Her playing is still as dazzling, as frighteningly precise, as it has always been; her ability to spin gossamer threads of melody as matchless as ever. This was unmistakably and unashamedly Liszt in the grand manner, a bit old-fashioned and sometimes even a bit vulgar at times, but in this of all concertos, with Barenboim and the orchestra following each twist and turn, every little quickening and moment of expressive reflection, it seemed entirely appropriate"
"Man's destiny is to become like God, according to the model of Christ. It's not to say that nothing happened. It's saying that something bad has happened and that our forgiveness is an invocation of the Almighty to receive the miraculous forgiveness that wipes away guilt and brings new life."
"The rejection of God is not only conveyed by our evil actions, but also by sins of omission, which always suppress the good works we were called to do. What counts are the spiritual and corporal works of mercy. It's not only giving; it’s giving of ourselves. Giving for the good of the body and soul of one who is in need."
"We have no words. We don't have missiles, we don't have guns, we don't have tanks, we don't have the force of violence that wants to impose itself at any price. We have the strength of humility of those who receive the contempt of the world and of the powerful of the earth. Our only weapon - in the face of so much shame for humanity and so much suffering is what we have done today: to pray."
"Cardinal Sandri: At one point, John Paul II was unable to speak because he had undergone a tracheotomy. A speech therapist was called in to help the Pontiff practise, as he had to learn how to use his voice and articulate words again. Journalist: The image of John Paul II trying to speak at the Angelus on 30 March 2005 and not being able to do so remains etched in the collective memory... Cardinal Sandri: He had done his exercises, rehearsed the text, and when he appeared at the window, perhaps due to emotion, his voice failed him, and this caused him great suffering. But all this was ultimately the result of Parkinson's, a degenerative disease that had made it increasingly difficult for him to speak and could only get worse."
"Journalist: Christians in the Holy Land are committed to justice and peace through evangelical non-violence. What are the main obstacles they encounter in this process? Cardinal Sandri: Perhaps they are tempted to lose the virtue of patience. The certainties of faith are severely tested by the time it takes for divine promises to be fulfilled. Then there is the temptation to forget what the Lord clearly said: ‘My ways are not your ways!’. Our brothers and sisters in the Holy Land are waiting to be comforted by God's fatherly hand in their trials, and perhaps the wait may seem fruitless. Good Friday is their day because on that day Christ's patience reaches its peak and merges with the infinite love that washes away sins and gathers all innocent tears in the redemption of the Cross. Perhaps they find it hard to believe that God's way is victorious, the way of meek steadfastness, which never, ever claims the right to shed blood, not even that of the enemy. The Cross we adore on Good Friday assures us that the Gospel is the most fruitful path to life and justice. Even from a human point of view, we must recognise that only by breaking the cycle of violence can we finally usher in lasting peace."
"We all remember the journey towards the Great Jubilee of 2000, dedicated to the fundamental stages of the history of salvation and the Trinitarian mystery, with the Year of the Father, of the Son and of the Holy Spirit, and then that pilgrimage to Iraq in the footsteps of Abraham, which was the first of all those that would follow later. We recall that among the pilgrimages linked to the Jubilee event there were also those linked to the figure of the Apostle Paul, which took John Paul II to Syria and also to Greece and Malta. However, his having to give up the journey to Iraq was certainly something that caused him great suffering. However, deep down we can say that his acceptance of that cancellation was already an interior pilgrimage. At Ur, in Iraq, Abraham was called to leave his land and his certainties, and was even asked to be willing to sacrifice his son for the covenant with the Lord. Saint John Paul II, who so wanted to visit that land, lived deep down Abraham’s same feelings in giving up this pilgrimage and in the sacrifice of having to accept that situation."
"Journalist: First of all, Your Eminence, which Saints do you have a devotion to? Cardinal Sandri: Obviously, my first devotion after Jesus Christ is His Mother, the Virgin Mary but I would like to answer this question because I was born in Argentina, and in Argentina we celebrate the birthday more than the name day, and my name of baptism is Leonardo."
"Interviewer: What is involved in assisting the local realities of the Churches outside of the places in which they originated? Cardinal Sandri: It is a feature of the care for the Oriental Churches expressed by the Popes who, however, no longer exercized the role as Prefect of the Congregation, continue to exercise their special care for the Eastern faithful through the Dicastery. The very fact that in predominantly Latin territories - as for example in Europe and the United States - Popes have chosen to institute eparchies or exarchates for the care of the Eastern Catholic faithful speaks of the importance and profound respect for their identity and tradition. Where they go in the world creating structured communities of a certain size, the Apostolic See recognizes the possibility of continuing to govern themselves according to their own tradition, their liturgical, disciplinary, spiritual distinctiveness, providing for the appointment of Bishops and the foundation of eparchies and provinces so that they can continue to live their belonging to the Lord in the Catholic Church through that unique expression of their Church of origin."
"We follow Christ, and he's come to bring the Kingdom of God, that is one of justice, peace, inclusion. This Kingdom, of course, will come at the end of times, but we are tasked with spreading it. And this means that the Catholic Church is called to work where there's justice, peace, but also war. It's called to work in healthcare, the environment, politics and the world of finance. It's a call from the Gospel."
"The Simpsons is like a Bible for comic artists!"
"There is a natural instinct that pushes for a return to old institutions and a quick economic recovery. This, for us, would be the worst outcome. We must use this opportunity to envision a better future."
"So in my cartooning there's an influx of a lot of influences that are not only from cartooning, but to mention some: Hergé and Tintin, Quino and Mafalda, Art Spiegelman and Maus. And these works have influenced me more as a human being than as an artist. Also I could mention Woody Allen, Kurt Vonnegut, John Steinbeck as some others. A lot of my influences will show up in my daily strip, so I have strips were maybe Chaplin shows up, or strips where Snoopy shows up, or strips where I put a little phrase by Vonnegut or Steinbeck, or, you know, Harper Lee, stuff that I read while growing up. And knowing that they impacted me somehow. You know, Woody Allen, and Monty Python, and just all of that is in there, and also a lot of Latin American culture. So I am just this big salad full of different ingredients. And I generally don't think it's very nice when an artist tries to go like, "Hey, I just appeared out of nowhere! I am such an original." I mean, say thanks, man!"
"La Editorial Común is a project in which we started publishing comics of cartoonists in Argentina. Argentina is strange country, and for some reason there's always been a lot of cartoonists and comic artists that come from there, and most of them end up working here in the U.S. or even in Europe. But those books sometimes are not published in Argentina. So maybe nobody knows in Argentina who José Muñoz is, or who Trillo is, or who know who Altuna is. They are very amazing cartoonists. And for some reason in Argentina a lot of their books are not available. So we started trying to do something about that, and also try to get hype for the boom of the graphic novel in Latin America, which had been happening over the last 30 years in many other parts of the world. And especially we wanted to do it in Argentina because people there are still kind of, you know, they have this idea that comics are just adventures and jokes. And that's kind of saying the same thing like good movies are just Chuck Norris films and Jerry Lewis. And those are good films! But now, La Editorial helps us get more of those books down there."
"Macanudo is like a schizophrenic strip so it's everything I grew up reading, like Peanuts, like Calvin And Hobbes."